document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135604>Question 135604</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780072966930/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the<BR>\n" );
document.write( "coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p-value and<BR>\n" );
document.write( "interpret it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99352 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=99352\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p-value and<BR>\n" );
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document.write( "p-hat = 38/60 = 0.63333...<BR>\n" );
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document.write( "Ho: p= 0.5<BR>\n" );
document.write( "Ha: p> 0.5<BR>\n" );
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document.write( "Critical Value for one-tail z-test with alpha = 10%: z = 1.2816<BR>\n" );
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document.write( "Test statistic: z(0.6333) = (0.63333-5)/sqrt(0.5)(0.5)/60] = 2.0651<BR>\n" );
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document.write( "Conclusion: Since test stat is greater than crit value, Reject Ho.<BR>\n" );
document.write( "Test gives evidence that the coin is biased toward heads.<BR>\n" );
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document.write( "(b) Calculate a p-value and interpret:<BR>\n" );
document.write( "p-value = P(2.0651 < z < 10) = 0.1946<BR>\n" );
document.write( "Less that 2% of test results could have given stronger evidence <BR>\n" );
document.write( "against Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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